Which one of the following is an example 6u:gm ig) 2gxhgi14 xnof a vector quantity?

  Which of the following operations will not change88loqnezm an/x3a 9d tr 1q-qk/ac9g9 a vector?

  Which of the following is a-q e3 t-z4pwlpn accurate statement?

  The resultant of two vectors is the smallest wm53p uj1p.em (h zbk-xhen the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. Whfl8z ;.s+3 hx4c ngy jhn/1tlm1gffl7en these two vectors are added, the magnitude of the llyjfgfl tn;fh7m n4.83 s c+/hzgx1 1sum

  Two vectors, of magn dbt, kaae:4o(/o3 dgfitudes 20 and 50, are added. Which one of the following is a possibl/af,e4d okg:(btd 3o ae answer for the magnitude of the resultant?

  Three forces, each having a magnitude of 30 N, pull on an object zo ji)t-upzz 7o/: nc.in directions t-zi7n)tzu cj.o :po/z hat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unkno :ww6:xmh/db iwn vector is

  Ignoring air resistance, the horizontal component of a pbukw )76m)o tirojectile's velocity

  A ball is thrown with a velocity7q33r jn oa,ll of 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the aq 3n7jolr3,lexact top of its trajectory?

  Ignoring air resistance, the horizontal component-qa1kvkcmk( 4o83mt)y tsdm0 of a projectile's accelerationyokd1 8m(k0tavc3-t 4mksq)m

  A soccer ball is kicked with a velocity of 25 m/s ax z u8rr9bbk0 bkg,3/c;lrk)rt an angle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector of an object is directed cu53ur2k4jnmok+er 7o.w4 h hanti-parallel to the velocity vecthhcu3mow7r5 j.oru k4 2n4+k eor,

  If the acceleration of an object is always directed perpend-zj1w )xv ky;wicular to its velocit v ;-1ww)xkyjzy,

  At what angle should :vg9 jttdr3q )a water-gun be aimed in order for the water to land with the grejt tgvqrd9):3atest horizontal range?

  An Olympic athlete throws a javelin at four different angles abtaugtik 4n3/d 1, oyx2ove the horizontal, each with theo ,23atyt/1 dn4i gxku same speed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball vbdgcv4j,1u0hq 6(o/ s;gbey a tlrw1u+0bv5for the second time. If the ball leaves your hand with twice the velocity it had on your first th (0usgh1bc1,reov tgdw v4l/+b vuy05bq ;aj6row, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original8fy0udme ya7 6oun74+wnud,l speed of 8.0 m/s at an angle of $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a field goal attempt reaches its maximum height, how does,be/5u sm)*ydp ulkib14qh1 d its speedyb1bdlqs d u h1)up,4*/ eikm5 compare to its initial speed?

  A stone is thrown horizontally from q; a/k,yr3 p9s l;vzusthe top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level groun,ayrvk/p9 3u;; ssqzl d below?

  A bullet is fired horizontally, and at the same instant a second mok 9xu 1nzxq)uis*10bullet is dropped from the same height.q us )xnx1o* 1uzkm0i9 Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevation of :x1a zv3an clmpl0/ i/160 m drops a package. Two seconds later it drops a second package. How far apart will the twoi/0 lz3xlcvapam1n : / packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a secondg8wusk:+ c*u0 jujhu, package i,hjwku8jusu0g +: u*cs dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a p)92v)pju ic 2cypkc b717ulqilane flying horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizon)7c2i )qiyj b ulpccv192u 7kptal location of the plane will

  The acceleration of gravity on the Mooolbg8 ;- 9fk mta,k2k4b;ak 7+z nfgcbn is only one-sixth of that on Earth. If you hit a baseball on the Moon with the b t;f;9l f+k okkazk27bbgcam,g-8n 4same effort (and at the speed and angle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in th-wzp w;w.(7ubu:r xaoe +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the other caaw7w( .bx:pr - ;uzuowr is

  You are trying to cross a river that flows due south with a strong current. Youz3;gc- xfq9p wt ki0j6 start out in yokt xzcqi9fp6 jwg03; -ur motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can mejt 7uu8jqnn;avc ((+ove at 30 km/h in still water. How much time will it take you to move 12 km dowvcnn(u(t;a j7q 8u je+nstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0xg3 g ;6oiu)zn m at an angle of 30 degrees below the +x axis. The y componenx ogz6 g3ui;n)t of A is

  If a ball is thrown with a velocitn 7m yly-gb;.xy of 25 m/s at an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight line in a direction north of east and you*i1(kunai* j q/liwb/ end up 2.0 km north and several kilometers k jwnu1b*/ il(qiai*/ east. How many degrees north of east have you walked?

  A butterfly moves withm,j.ms4i 3 ;fh:ppnqa a speed of 12.0 m/s. The x component of its velocity is 8.00 m/s. The angle between the nq p:4m ;pi3s.jmf ha,direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a m xt57-acu/9c1,y) tqv kvhip: cn0celevel ground. At what angle is the Sun euc0ipym c/k-eqvnh ,t)cxct :9v 7 5a1levated above the horizon?

  Two vectors A and B have components y6to (7t(j ie2rs2 xom(0, 1) and (-1, 3), respectively. What are the components ofot2(jsr(et myo 27xi6 the sum of these two vectors?

  Two vectors A and Bh2cl/t 6bap;k have components (0, 1) and (-1, 3), respectively. What is magnitude of the pl cb/2t6 a;hksum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the mag0 rtgk* d /9::v wj+dwwpzoq;jnitudewq 9v;/z+:dj0 :wrtokp jd*gw of C ?

  A car travels 20 km West, then 20 km South. What i3tbfy*7u.kkdij5t3xrf 9 sz/ s the magnitude of its displacement?jyf3fs d5xkbt.7ti*k3/ruz9

  Three vectors, expressed in Cartesian coordinates,tc( ,s0 /zhsbppoay p7 g99:ow are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the magnitude of the resultant vector S + T + U ?

  Three vectors, expressed in Cartesian coordina6ex0 :l;n yzicb5yn )vtes, are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the angle of the resultant vector S + T + U measured from the positive x axis?

  If vector A = (-3.0, -4.0) and vecti,j/zbc5 6qsuyh nnufj;0* i0xq3cf3e wq0l -or B = (+3.0, -8.0), what is the magnitude of vector C = A - B b3euqu0 n0f3,c xczq5ni - h*0ljf/6 swj;iqy?

  A runner runs halfway around a cqa)o* 7pn hj;rircular path of radius 10 m. What is the displacement of jp7)h* o;a rnqthe jogger?

  Two forces are acting on an obje6d;x2(tcwre,o q uq8 b eeq)0wct as shown in Fig. 3-1. What is the magnitude o8 d6()oqw2q,e0 ;bwte ucrxq ef the resultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is the directsby,- oiovq0umqx4) k 3 7uw nk+efr;3ion of texnvk,qb;yu4w + rm- i o)k3u0o7s3fqhe resultant force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 c*0ic(;2tjtd nv3 cig ,by- tavm long and points at +30e -ivtd,j gab;t tv*(n32cyi0 cto the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B.
(c) Determine the sum of these two vectors in terms of components.
(d) Determine the sum of these two vectors in terms of magnitude and direction.

Vector A is 75.0 cm long and poiczo.-ide6)r+w :- nwgwmbqk:kq+ 8i jnts at $30^{\circ}$ above the positive x axis. Vector B is 25.0 cm long
and points along the negative x axis. Vector C is 40.0 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B .
(c) Determine the x and y components of Vector C .
(d) Determine the sum of these three vectors in terms of components.
(e) Determine the sum of these three vectors in terms of magnitude and direction.

  A stone is thrown horizontally with an initial speerc.m xiz)6 -vzd of 10 m/s from the edge of a cliff. A stop watch measures the stonci x. 6zv)-mzre's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/683-vq f . joyo(8xv;noopsqn6h hi5t s, from a bridge. It falls 20 m to the water below. How far does the rock travel horizontally before strikipo6v6io8novq( -;5sny xt8f hq h j.3ong the water?

  A ball thrown horizok5kb, dis -ii3ntally from a point 24 m above the ground, strikes the ground after traveliiks ,5i3-k dbing horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed imwtvanc1 / q19a6;yzof 12 m/s at an angle 91vn a61m; q yait/zcwof $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into the jumpge+ss6cj7 bkk+eg 0 g3 with a speed of 12 m/s at an angle of6je+0k gsbk gseg+7c 3 $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launch2+po rw5fsr g7ed with an initial velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velsjlxyc96c+) vhp hh+2ocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fir/cnx. .cjb pvuh+-207xdx q+vxhjen2kr9w )p ed at an angle of $30^{\circ}$ below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the cliff does it strike the level ground below?

A projectile is shot horizontally at 23.4 m/s from the roof of z h,3+t+ts3*-io1awaf8wq 6bc1ox :n feielg a building 55.0 m tw3+11b8i noe-o e w,za: s f6 +g*htcfltiqax3all.
(a) Determine the time necessary for the projectile to reach the ground below.
(b) Determine the distance from the base of the building that the projectile lands.
(c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A projectile is fired from ground level /mfz1lkv0ro),rg*e d with an initial speed of 55.6 m/s at an angle */z1,ro)md r0egflvk of $41.2^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

  On a calm day (no wind), you can run a 1500/mehnvw j1+) ex 9 w6fqw3ll.j-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speed by 2.0 m/s, the time it would take you x+j /mweqlw6)3w91. ejlvnhf to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 m/s txq hu)gj1 fpa(a(ra2m (ob5t0o the West. The plane's speed relative to th )1bujfoaaht agm 50(xp2 rq((e ground is

  A plane is flying due South j+zyof ur ftnfd3qvn +bba+83 (d8t/*($270^{\circ}$) at 500 km/h. A wind blows from East to West ($180^{\circ}$) at 45.0 km/h. Find the plane's velocity with respect to the ground.

  An airplane with a speed of 120 kdycu()n0.+4ap 8aa wvtm1v l;ea :ywum/h is headed $30.0^{\circ}$ east of north in a wind blowing due west at 30.0 km/h. What is the speed of the plane relative to the ground?

  A fighter plane moving 200 m/s horizontally fires a projecrlpj. xy4 ay 6hh(*tv:3n2kfx-s hk/7krl4b ctile with speed 50.0 m/s in a forward xcl3 x7k.r6y(l bst4khn 4ryj:-fk apv2/*hh direction $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed in still water is 8.0 m/s, is directed across 7h j o*:w7eukda river with a current of 6.0 m/s. What is the speed of the boat as it crosses the r7 ukd:7*w ejhoiver?

  The driver of a motorboat that can move at 10 m/s in st oplwfracr, b7oc * t;s0:alz(bg:5(kill water wishes to travel directly across a river 1.6 km wide in which the current flows at 5.0 m/s. How long will it take to cro:7zsoacrtwa; :bkbf( po5l*0(g, r lcss the river?

  The driver of a motorboat that can move at 10 m/s in still water wishest iu -v4-i2w;u8 exl5lijdow) to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should l-x )ltw;vuo2-d8i54eu wj iithe driver head the boat?

  A swimmer heading directly across a rv(clv/ond 1ah / ;t+, kcxrfzllw469liver 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in stk hw ( + xz,vt9cr /l/d6lonfa;v1llc4ill water?

  A swimmer heading directly across a r5-nhl 2rz- mcviver 200 m wide reaches the opposite bank in rc-lnhz52v m-6 min 40 s. She is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 4jh1fx /gr0e e1.75 m/s, must aim upstream at an angle of g1f exer4j0h/ $26.3^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.
(b) Determine the resultant speed of the boat with respect to the shore.